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Simplifying (X + 5)(7x + 1) = 0 Reorder the terms: (5 + X)(7x + 1) = 0 Reorder the terms: (5 + X)(1 + 7x) = 0 Multiply (5 + X) * (1 + 7x) (5(1 + 7x) + X(1 + 7x)) = 0 ((1 * 5 + 7x * 5) + X(1 + 7x)) = 0 ((5 + 35x) + X(1 + 7x)) = 0 (5 + 35x + (1 * X + 7x * X)) = 0 (5 + 35x + (1X + 7xX)) = 0 Reorder the terms: (5 + 1X + 35x + 7xX) = 0 (5 + 1X + 35x + 7xX) = 0 Solving 5 + 1X + 35x + 7xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1X + 35x + -5 + 7xX = 0 + -5 Reorder the terms: 5 + -5 + 1X + 35x + 7xX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1X + 35x + 7xX = 0 + -5 1X + 35x + 7xX = 0 + -5 Combine like terms: 0 + -5 = -5 1X + 35x + 7xX = -5 Add '-35x' to each side of the equation. 1X + 35x + -35x + 7xX = -5 + -35x Combine like terms: 35x + -35x = 0 1X + 0 + 7xX = -5 + -35x 1X + 7xX = -5 + -35x Reorder the terms: 5 + 1X + 35x + 7xX = -5 + -35x + 5 + 35x Reorder the terms: 5 + 1X + 35x + 7xX = -5 + 5 + -35x + 35x Combine like terms: -5 + 5 = 0 5 + 1X + 35x + 7xX = 0 + -35x + 35x 5 + 1X + 35x + 7xX = -35x + 35x Combine like terms: -35x + 35x = 0 5 + 1X + 35x + 7xX = 0 The solution to this equation could not be determined.
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